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Consider a mass-spring system that oscillates with frequency w when there are no external forces acting on it. Now, suppose that the mass attached to the spring is initially 8 cm and then the mass is let go with an initial velocity of 4 cm/s. Furthermore, at time t = 9 s the mass is struck, once, with a hammer force of 7 grs cm/s^2.

Consider a mass-spring system that oscillates with frequency w when there are no external forces acting on it. Now, suppose that the mass attached to the spring is initially 8 cm and then the mass is let go with an initial velocity of 4 cm/s. Furthermore, at time t = 9 s the mass is struck, once, with a hammer force of 7 grs cm/s^2.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Consider a mass-spring system that oscillates with frequency w when there are no external forces acting on it. Now, suppose that the mass attached to the spring is initially 8 cm and then the mass is let go with an initial velocity of 4 cm/s. Furthermore, at time t = 9 s the mass is struck, once, with a hammer force of 7 grs cm/s^2. The situation above can be described by the initial value problem y" + w y = K 8(t – c), y(0) = Yo, y' (0) = Y1, where, as usual, y(t) is the displacememnt of the spring from the equilibrium position in cm, positive downwards, at the time t in seconds, and the hammer strike is modeled by a Dirac's delta generalized function. Find the parameters K, c, yo and y1- К — Σ c = Σ Yo = Σ Y1 = Σ
Transcribed Image Text:Consider a mass-spring system that oscillates with frequency w when there are no external forces acting on it. Now, suppose that the mass attached to the spring is initially 8 cm and then the mass is let go with an initial velocity of 4 cm/s. Furthermore, at time t = 9 s the mass is struck, once, with a hammer force of 7 grs cm/s^2. The situation above can be described by the initial value problem y" + w y = K 8(t – c), y(0) = Yo, y' (0) = Y1, where, as usual, y(t) is the displacememnt of the spring from the equilibrium position in cm, positive downwards, at the time t in seconds, and the hammer strike is modeled by a Dirac's delta generalized function. Find the parameters K, c, yo and y1- К — Σ c = Σ Yo = Σ Y1 = Σ
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